New theta constant identities

Hershel M. Farkas; Yaacov Kopeliovich

doi:10.1007/BF02808110

New theta constant identities

Hershel M. Farkas^*, Yaacov Kopeliovich

^*Corresponding author for this work

Einstein Institute of Mathematics

Research output: Contribution to journal › Article › peer-review

13 Scopus citations

Abstract

The residue theorem is employed to obtain new identities among pthe powers of theta constants with rational characteristics. The technique is then used to derive some known identities of Ramanujan.

Original language	English
Pages (from-to)	133-140
Number of pages	8
Journal	Israel Journal of Mathematics
Volume	82
Issue number	1-3
DOIs	https://doi.org/10.1007/BF02808110
State	Published - Jun 1993

Access to Document

10.1007/BF02808110

Cite this

@article{baa83739e0c6410b97d6ef7b0c26fc14,

title = "New theta constant identities",

abstract = "The residue theorem is employed to obtain new identities among pthe powers of theta constants with rational characteristics. The technique is then used to derive some known identities of Ramanujan.",

author = "Farkas, {Hershel M.} and Yaacov Kopeliovich",

year = "1993",

month = jun,

doi = "10.1007/BF02808110",

language = "אנגלית",

volume = "82",

pages = "133--140",

journal = "Israel Journal of Mathematics",

issn = "0021-2172",

publisher = "Springer New York",

number = "1-3",

}

TY - JOUR

T1 - New theta constant identities

AU - Farkas, Hershel M.

AU - Kopeliovich, Yaacov

PY - 1993/6

Y1 - 1993/6

N2 - The residue theorem is employed to obtain new identities among pthe powers of theta constants with rational characteristics. The technique is then used to derive some known identities of Ramanujan.

AB - The residue theorem is employed to obtain new identities among pthe powers of theta constants with rational characteristics. The technique is then used to derive some known identities of Ramanujan.

UR - http://www.scopus.com/inward/record.url?scp=51249167028&partnerID=8YFLogxK

U2 - 10.1007/BF02808110

DO - 10.1007/BF02808110

M3 - ???researchoutput.researchoutputtypes.contributiontojournal.article???

AN - SCOPUS:51249167028

SN - 0021-2172

VL - 82

SP - 133

EP - 140

JO - Israel Journal of Mathematics

JF - Israel Journal of Mathematics

IS - 1-3

ER -

New theta constant identities

Abstract

Access to Document

Other files and links

Fingerprint